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135990456 = 23371734679
BaseRepresentation
bin10000001101100…
…00110010111000
3100110220000211120
420012300302320
5234303143311
621254425240
73240620430
oct1006606270
9313800746
10135990456
116a843708
1239662220
1322235334
14140bd2c0
15be13706
hex81b0cb8

135990456 has 64 divisors (see below), whose sum is σ = 390873600. Its totient is φ = 38621568.

The previous prime is 135990451. The next prime is 135990499. The reversal of 135990456 is 654099531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135990451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26725 + ... + 31403.

It is an arithmetic number, because the mean of its divisors is an integer number (6107400).

Almost surely, 2135990456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135990456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195436800).

135990456 is an abundant number, since it is smaller than the sum of its proper divisors (254883144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135990456 is a wasteful number, since it uses less digits than its factorization.

135990456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 135990456 is about 11661.4945868872. The cubic root of 135990456 is about 514.2442882858.

The spelling of 135990456 in words is "one hundred thirty-five million, nine hundred ninety thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 3633 4152 4679 4844 7266 9358 9688 14037 14532 18716 28074 29064 32753 37432 56148 65506 98259 112296 131012 196518 262024 393036 786072 809467 1618934 2428401 3237868 4856802 5666269 6475736 9713604 11332538 16998807 19427208 22665076 33997614 45330152 67995228 135990456